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Finding the Fourth Proportional to 38,474.90, 57,705.06 and 13,509.08

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Solution

The fourth proportional to 38,474.90, 57,705.06 and 13,509.08 is: 20,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.90 : 57,705.06 = 13,509.08 : x
  2. Step 2: Convert to fraction form
    38,474.90/57,705.06 = 13,509.08/x
  3. Step 3: Cross multiply
    38,474.90x = 57,705.06 × 13,509.08
  4. Step 4: Simplify right side
    38,474.90x = 779,542,271.94
  5. Step 5: Solve for x
    x = 779,542,271.94/38,474.90
  6. Step 6: Final answer
    x = 20,261.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.